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SageMath
E = EllipticCurve("es1")
E.isogeny_class()
Elliptic curves in class 450800.es
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.es1 | 450800es1 | \([0, 1, 0, 2042, -274037]\) | \(32000/1127\) | \(-33147605750000\) | \([]\) | \(663552\) | \(1.2743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.es1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.es do not have complex multiplication.Modular form 450800.2.a.es
sage: E.q_eigenform(10)